Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [370,2,Mod(149,370)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(370, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("370.149");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 370 = 2 \cdot 5 \cdot 37 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 370.b (of order \(2\), degree \(1\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.95446487479\) |
Analytic rank: | \(0\) |
Dimension: | \(10\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{10} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{10} - 2x^{9} + 2x^{8} - 4x^{7} + 51x^{6} - 124x^{5} + 154x^{4} - 46x^{3} + x^{2} + 4x + 8 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 149.4 | ||
Root | \(1.24331 - 1.24331i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 370.149 |
Dual form | 370.2.b.d.149.7 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/370\mathbb{Z}\right)^\times\).
\(n\) | \(261\) | \(297\) |
\(\chi(n)\) | \(1\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | − | 1.00000i | − | 0.707107i | ||||||
\(3\) | 1.53175i | 0.884356i | 0.896927 | + | 0.442178i | \(0.145794\pi\) | ||||
−0.896927 | + | 0.442178i | \(0.854206\pi\) | |||||||
\(4\) | −1.00000 | −0.500000 | ||||||||
\(5\) | 2.07757 | + | 0.826871i | 0.929116 | + | 0.369788i | ||||
\(6\) | 1.53175 | 0.625334 | ||||||||
\(7\) | − | 4.67211i | − | 1.76589i | −0.469475 | − | 0.882946i | \(-0.655557\pi\) | ||
0.469475 | − | 0.882946i | \(-0.344443\pi\) | |||||||
\(8\) | 1.00000i | 0.353553i | ||||||||
\(9\) | 0.653743 | 0.217914 | ||||||||
\(10\) | 0.826871 | − | 2.07757i | 0.261480 | − | 0.656984i | ||||
\(11\) | 0.0451320 | 0.0136078 | 0.00680390 | − | 0.999977i | \(-0.497834\pi\) | ||||
0.00680390 | + | 0.999977i | \(0.497834\pi\) | |||||||
\(12\) | − | 1.53175i | − | 0.442178i | ||||||
\(13\) | 5.26514i | 1.46029i | 0.683294 | + | 0.730143i | \(0.260547\pi\) | ||||
−0.683294 | + | 0.730143i | \(0.739453\pi\) | |||||||
\(14\) | −4.67211 | −1.24867 | ||||||||
\(15\) | −1.26656 | + | 3.18231i | −0.327024 | + | 0.821670i | ||||
\(16\) | 1.00000 | 0.250000 | ||||||||
\(17\) | − | 3.60861i | − | 0.875217i | −0.899166 | − | 0.437608i | \(-0.855826\pi\) | ||
0.899166 | − | 0.437608i | \(-0.144174\pi\) | |||||||
\(18\) | − | 0.653743i | − | 0.154089i | ||||||
\(19\) | 6.22000 | 1.42697 | 0.713483 | − | 0.700672i | \(-0.247116\pi\) | ||||
0.713483 | + | 0.700672i | \(0.247116\pi\) | |||||||
\(20\) | −2.07757 | − | 0.826871i | −0.464558 | − | 0.184894i | ||||
\(21\) | 7.15650 | 1.56168 | ||||||||
\(22\) | − | 0.0451320i | − | 0.00962217i | ||||||
\(23\) | − | 2.20164i | − | 0.459073i | −0.973300 | − | 0.229536i | \(-0.926279\pi\) | ||
0.973300 | − | 0.229536i | \(-0.0737210\pi\) | |||||||
\(24\) | −1.53175 | −0.312667 | ||||||||
\(25\) | 3.63257 | + | 3.43576i | 0.726514 | + | 0.687152i | ||||
\(26\) | 5.26514 | 1.03258 | ||||||||
\(27\) | 5.59662i | 1.07707i | ||||||||
\(28\) | 4.67211i | 0.882946i | ||||||||
\(29\) | 4.20386 | 0.780637 | 0.390319 | − | 0.920680i | \(-0.372365\pi\) | ||||
0.390319 | + | 0.920680i | \(0.372365\pi\) | |||||||
\(30\) | 3.18231 | + | 1.26656i | 0.581008 | + | 0.231241i | ||||
\(31\) | −3.01051 | −0.540704 | −0.270352 | − | 0.962762i | \(-0.587140\pi\) | ||||
−0.270352 | + | 0.962762i | \(0.587140\pi\) | |||||||
\(32\) | − | 1.00000i | − | 0.176777i | ||||||
\(33\) | 0.0691309i | 0.0120341i | ||||||||
\(34\) | −3.60861 | −0.618872 | ||||||||
\(35\) | 3.86323 | − | 9.70662i | 0.653006 | − | 1.64072i | ||||
\(36\) | −0.653743 | −0.108957 | ||||||||
\(37\) | − | 1.00000i | − | 0.164399i | ||||||
\(38\) | − | 6.22000i | − | 1.00902i | ||||||
\(39\) | −8.06487 | −1.29141 | ||||||||
\(40\) | −0.826871 | + | 2.07757i | −0.130740 | + | 0.328492i | ||||
\(41\) | −7.38299 | −1.15303 | −0.576515 | − | 0.817087i | \(-0.695588\pi\) | ||||
−0.576515 | + | 0.817087i | \(0.695588\pi\) | |||||||
\(42\) | − | 7.15650i | − | 1.10427i | ||||||
\(43\) | − | 5.54789i | − | 0.846046i | −0.906119 | − | 0.423023i | \(-0.860969\pi\) | ||
0.906119 | − | 0.423023i | \(-0.139031\pi\) | |||||||
\(44\) | −0.0451320 | −0.00680390 | ||||||||
\(45\) | 1.35819 | + | 0.540561i | 0.202468 | + | 0.0805821i | ||||
\(46\) | −2.20164 | −0.324613 | ||||||||
\(47\) | 4.28072i | 0.624407i | 0.950015 | + | 0.312204i | \(0.101067\pi\) | ||||
−0.950015 | + | 0.312204i | \(0.898933\pi\) | |||||||
\(48\) | 1.53175i | 0.221089i | ||||||||
\(49\) | −14.8286 | −2.11837 | ||||||||
\(50\) | 3.43576 | − | 3.63257i | 0.485890 | − | 0.513723i | ||||
\(51\) | 5.52749 | 0.774003 | ||||||||
\(52\) | − | 5.26514i | − | 0.730143i | ||||||
\(53\) | 6.10215i | 0.838194i | 0.907941 | + | 0.419097i | \(0.137653\pi\) | ||||
−0.907941 | + | 0.419097i | \(0.862347\pi\) | |||||||
\(54\) | 5.59662 | 0.761603 | ||||||||
\(55\) | 0.0937647 | + | 0.0373183i | 0.0126432 | + | 0.00503200i | ||||
\(56\) | 4.67211 | 0.624337 | ||||||||
\(57\) | 9.52749i | 1.26195i | ||||||||
\(58\) | − | 4.20386i | − | 0.551994i | ||||||
\(59\) | −13.5275 | −1.76113 | −0.880565 | − | 0.473926i | \(-0.842836\pi\) | ||||
−0.880565 | + | 0.473926i | \(0.842836\pi\) | |||||||
\(60\) | 1.26656 | − | 3.18231i | 0.163512 | − | 0.410835i | ||||
\(61\) | −4.27299 | −0.547100 | −0.273550 | − | 0.961858i | \(-0.588198\pi\) | ||||
−0.273550 | + | 0.961858i | \(0.588198\pi\) | |||||||
\(62\) | 3.01051i | 0.382335i | ||||||||
\(63\) | − | 3.05436i | − | 0.384813i | ||||||
\(64\) | −1.00000 | −0.125000 | ||||||||
\(65\) | −4.35359 | + | 10.9387i | −0.539996 | + | 1.35678i | ||||
\(66\) | 0.0691309 | 0.00850942 | ||||||||
\(67\) | − | 12.3751i | − | 1.51186i | −0.654650 | − | 0.755932i | \(-0.727184\pi\) | ||
0.654650 | − | 0.755932i | \(-0.272816\pi\) | |||||||
\(68\) | 3.60861i | 0.437608i | ||||||||
\(69\) | 3.37235 | 0.405984 | ||||||||
\(70\) | −9.70662 | − | 3.86323i | −1.16016 | − | 0.461745i | ||||
\(71\) | −4.49354 | −0.533285 | −0.266642 | − | 0.963796i | \(-0.585914\pi\) | ||||
−0.266642 | + | 0.963796i | \(0.585914\pi\) | |||||||
\(72\) | 0.653743i | 0.0770443i | ||||||||
\(73\) | 7.03811i | 0.823748i | 0.911241 | + | 0.411874i | \(0.135126\pi\) | ||||
−0.911241 | + | 0.411874i | \(0.864874\pi\) | |||||||
\(74\) | −1.00000 | −0.116248 | ||||||||
\(75\) | −5.26273 | + | 5.56418i | −0.607687 | + | 0.642497i | ||||
\(76\) | −6.22000 | −0.713483 | ||||||||
\(77\) | − | 0.210861i | − | 0.0240299i | ||||||
\(78\) | 8.06487i | 0.913167i | ||||||||
\(79\) | 8.72499 | 0.981638 | 0.490819 | − | 0.871262i | \(-0.336698\pi\) | ||||
0.490819 | + | 0.871262i | \(0.336698\pi\) | |||||||
\(80\) | 2.07757 | + | 0.826871i | 0.232279 | + | 0.0924470i | ||||
\(81\) | −6.61139 | −0.734599 | ||||||||
\(82\) | 7.38299i | 0.815315i | ||||||||
\(83\) | − | 0.880231i | − | 0.0966179i | −0.998832 | − | 0.0483090i | \(-0.984617\pi\) | ||
0.998832 | − | 0.0483090i | \(-0.0153832\pi\) | |||||||
\(84\) | −7.15650 | −0.780839 | ||||||||
\(85\) | 2.98386 | − | 7.49713i | 0.323645 | − | 0.813178i | ||||
\(86\) | −5.54789 | −0.598245 | ||||||||
\(87\) | 6.43926i | 0.690361i | ||||||||
\(88\) | 0.0451320i | 0.00481108i | ||||||||
\(89\) | −9.97602 | −1.05746 | −0.528728 | − | 0.848791i | \(-0.677331\pi\) | ||||
−0.528728 | + | 0.848791i | \(0.677331\pi\) | |||||||
\(90\) | 0.540561 | − | 1.35819i | 0.0569801 | − | 0.143166i | ||||
\(91\) | 24.5993 | 2.57871 | ||||||||
\(92\) | 2.20164i | 0.229536i | ||||||||
\(93\) | − | 4.61135i | − | 0.478175i | ||||||
\(94\) | 4.28072 | 0.441523 | ||||||||
\(95\) | 12.9225 | + | 5.14314i | 1.32582 | + | 0.527675i | ||||
\(96\) | 1.53175 | 0.156334 | ||||||||
\(97\) | − | 0.240408i | − | 0.0244097i | −0.999926 | − | 0.0122049i | \(-0.996115\pi\) | ||
0.999926 | − | 0.0122049i | \(-0.00388502\pi\) | |||||||
\(98\) | 14.8286i | 1.49792i | ||||||||
\(99\) | 0.0295047 | 0.00296533 | ||||||||
\(100\) | −3.63257 | − | 3.43576i | −0.363257 | − | 0.343576i | ||||
\(101\) | −5.61775 | −0.558987 | −0.279494 | − | 0.960148i | \(-0.590167\pi\) | ||||
−0.279494 | + | 0.960148i | \(0.590167\pi\) | |||||||
\(102\) | − | 5.52749i | − | 0.547303i | ||||||
\(103\) | − | 12.5663i | − | 1.23819i | −0.785316 | − | 0.619095i | \(-0.787499\pi\) | ||
0.785316 | − | 0.619095i | \(-0.212501\pi\) | |||||||
\(104\) | −5.26514 | −0.516289 | ||||||||
\(105\) | 14.8681 | + | 5.91751i | 1.45098 | + | 0.577490i | ||||
\(106\) | 6.10215 | 0.592693 | ||||||||
\(107\) | 17.9395i | 1.73427i | 0.498070 | + | 0.867137i | \(0.334042\pi\) | ||||
−0.498070 | + | 0.867137i | \(0.665958\pi\) | |||||||
\(108\) | − | 5.59662i | − | 0.538535i | ||||||
\(109\) | −3.09936 | −0.296865 | −0.148433 | − | 0.988923i | \(-0.547423\pi\) | ||||
−0.148433 | + | 0.988923i | \(0.547423\pi\) | |||||||
\(110\) | 0.0373183 | − | 0.0937647i | 0.00355816 | − | 0.00894011i | ||||
\(111\) | 1.53175 | 0.145387 | ||||||||
\(112\) | − | 4.67211i | − | 0.441473i | ||||||
\(113\) | 4.36184i | 0.410328i | 0.978728 | + | 0.205164i | \(0.0657727\pi\) | ||||
−0.978728 | + | 0.205164i | \(0.934227\pi\) | |||||||
\(114\) | 9.52749 | 0.892331 | ||||||||
\(115\) | 1.82047 | − | 4.57405i | 0.169760 | − | 0.426532i | ||||
\(116\) | −4.20386 | −0.390319 | ||||||||
\(117\) | 3.44204i | 0.318217i | ||||||||
\(118\) | 13.5275i | 1.24531i | ||||||||
\(119\) | −16.8598 | −1.54554 | ||||||||
\(120\) | −3.18231 | − | 1.26656i | −0.290504 | − | 0.115621i | ||||
\(121\) | −10.9980 | −0.999815 | ||||||||
\(122\) | 4.27299i | 0.386858i | ||||||||
\(123\) | − | 11.3089i | − | 1.01969i | ||||||
\(124\) | 3.01051 | 0.270352 | ||||||||
\(125\) | 4.70597 | + | 10.1417i | 0.420915 | + | 0.907100i | ||||
\(126\) | −3.05436 | −0.272104 | ||||||||
\(127\) | − | 17.6572i | − | 1.56683i | −0.621502 | − | 0.783413i | \(-0.713477\pi\) | ||
0.621502 | − | 0.783413i | \(-0.286523\pi\) | |||||||
\(128\) | 1.00000i | 0.0883883i | ||||||||
\(129\) | 8.49798 | 0.748206 | ||||||||
\(130\) | 10.9387 | + | 4.35359i | 0.959385 | + | 0.381835i | ||||
\(131\) | −10.3103 | −0.900812 | −0.450406 | − | 0.892824i | \(-0.648721\pi\) | ||||
−0.450406 | + | 0.892824i | \(0.648721\pi\) | |||||||
\(132\) | − | 0.0691309i | − | 0.00601707i | ||||||
\(133\) | − | 29.0605i | − | 2.51987i | ||||||
\(134\) | −12.3751 | −1.06905 | ||||||||
\(135\) | −4.62768 | + | 11.6274i | −0.398288 | + | 1.00072i | ||||
\(136\) | 3.60861 | 0.309436 | ||||||||
\(137\) | − | 3.21863i | − | 0.274986i | −0.990503 | − | 0.137493i | \(-0.956095\pi\) | ||
0.990503 | − | 0.137493i | \(-0.0439045\pi\) | |||||||
\(138\) | − | 3.37235i | − | 0.287074i | ||||||
\(139\) | −20.9400 | −1.77611 | −0.888055 | − | 0.459737i | \(-0.847944\pi\) | ||||
−0.888055 | + | 0.459737i | \(0.847944\pi\) | |||||||
\(140\) | −3.86323 | + | 9.70662i | −0.326503 | + | 0.820359i | ||||
\(141\) | −6.55699 | −0.552198 | ||||||||
\(142\) | 4.49354i | 0.377089i | ||||||||
\(143\) | 0.237626i | 0.0198713i | ||||||||
\(144\) | 0.653743 | 0.0544786 | ||||||||
\(145\) | 8.73380 | + | 3.47605i | 0.725303 | + | 0.288670i | ||||
\(146\) | 7.03811 | 0.582478 | ||||||||
\(147\) | − | 22.7137i | − | 1.87340i | ||||||
\(148\) | 1.00000i | 0.0821995i | ||||||||
\(149\) | 21.9832 | 1.80093 | 0.900467 | − | 0.434924i | \(-0.143225\pi\) | ||||
0.900467 | + | 0.434924i | \(0.143225\pi\) | |||||||
\(150\) | 5.56418 | + | 5.26273i | 0.454314 | + | 0.429700i | ||||
\(151\) | 14.1877 | 1.15458 | 0.577290 | − | 0.816539i | \(-0.304110\pi\) | ||||
0.577290 | + | 0.816539i | \(0.304110\pi\) | |||||||
\(152\) | 6.22000i | 0.504509i | ||||||||
\(153\) | − | 2.35910i | − | 0.190722i | ||||||
\(154\) | −0.210861 | −0.0169917 | ||||||||
\(155\) | −6.25454 | − | 2.48931i | −0.502377 | − | 0.199946i | ||||
\(156\) | 8.06487 | 0.645706 | ||||||||
\(157\) | 19.9316i | 1.59072i | 0.606139 | + | 0.795359i | \(0.292717\pi\) | ||||
−0.606139 | + | 0.795359i | \(0.707283\pi\) | |||||||
\(158\) | − | 8.72499i | − | 0.694123i | ||||||
\(159\) | −9.34696 | −0.741262 | ||||||||
\(160\) | 0.826871 | − | 2.07757i | 0.0653699 | − | 0.164246i | ||||
\(161\) | −10.2863 | −0.810673 | ||||||||
\(162\) | 6.61139i | 0.519440i | ||||||||
\(163\) | 8.65087i | 0.677588i | 0.940861 | + | 0.338794i | \(0.110019\pi\) | ||||
−0.940861 | + | 0.338794i | \(0.889981\pi\) | |||||||
\(164\) | 7.38299 | 0.576515 | ||||||||
\(165\) | −0.0571623 | + | 0.143624i | −0.00445008 | + | 0.0111811i | ||||
\(166\) | −0.880231 | −0.0683192 | ||||||||
\(167\) | 11.9640i | 0.925803i | 0.886410 | + | 0.462901i | \(0.153192\pi\) | ||||
−0.886410 | + | 0.462901i | \(0.846808\pi\) | |||||||
\(168\) | 7.15650i | 0.552136i | ||||||||
\(169\) | −14.7216 | −1.13243 | ||||||||
\(170\) | −7.49713 | − | 2.98386i | −0.575004 | − | 0.228851i | ||||
\(171\) | 4.06628 | 0.310956 | ||||||||
\(172\) | 5.54789i | 0.423023i | ||||||||
\(173\) | − | 5.33508i | − | 0.405619i | −0.979218 | − | 0.202809i | \(-0.934993\pi\) | ||
0.979218 | − | 0.202809i | \(-0.0650071\pi\) | |||||||
\(174\) | 6.43926 | 0.488159 | ||||||||
\(175\) | 16.0523 | − | 16.9718i | 1.21344 | − | 1.28294i | ||||
\(176\) | 0.0451320 | 0.00340195 | ||||||||
\(177\) | − | 20.7207i | − | 1.55747i | ||||||
\(178\) | 9.97602i | 0.747734i | ||||||||
\(179\) | 5.27905 | 0.394575 | 0.197288 | − | 0.980346i | \(-0.436787\pi\) | ||||
0.197288 | + | 0.980346i | \(0.436787\pi\) | |||||||
\(180\) | −1.35819 | − | 0.540561i | −0.101234 | − | 0.0402910i | ||||
\(181\) | 17.7448 | 1.31896 | 0.659478 | − | 0.751723i | \(-0.270777\pi\) | ||||
0.659478 | + | 0.751723i | \(0.270777\pi\) | |||||||
\(182\) | − | 24.5993i | − | 1.82342i | ||||||
\(183\) | − | 6.54515i | − | 0.483832i | ||||||
\(184\) | 2.20164 | 0.162307 | ||||||||
\(185\) | 0.826871 | − | 2.07757i | 0.0607928 | − | 0.152746i | ||||
\(186\) | −4.61135 | −0.338121 | ||||||||
\(187\) | − | 0.162864i | − | 0.0119098i | ||||||
\(188\) | − | 4.28072i | − | 0.312204i | ||||||
\(189\) | 26.1480 | 1.90199 | ||||||||
\(190\) | 5.14314 | − | 12.9225i | 0.373123 | − | 0.937495i | ||||
\(191\) | −3.11649 | −0.225501 | −0.112751 | − | 0.993623i | \(-0.535966\pi\) | ||||
−0.112751 | + | 0.993623i | \(0.535966\pi\) | |||||||
\(192\) | − | 1.53175i | − | 0.110545i | ||||||
\(193\) | − | 8.78278i | − | 0.632198i | −0.948726 | − | 0.316099i | \(-0.897627\pi\) | ||
0.948726 | − | 0.316099i | \(-0.102373\pi\) | |||||||
\(194\) | −0.240408 | −0.0172603 | ||||||||
\(195\) | −16.7553 | − | 6.66861i | −1.19987 | − | 0.477549i | ||||
\(196\) | 14.8286 | 1.05919 | ||||||||
\(197\) | − | 7.00278i | − | 0.498928i | −0.968384 | − | 0.249464i | \(-0.919746\pi\) | ||
0.968384 | − | 0.249464i | \(-0.0802544\pi\) | |||||||
\(198\) | − | 0.0295047i | − | 0.00209681i | ||||||
\(199\) | −17.3202 | −1.22780 | −0.613900 | − | 0.789384i | \(-0.710400\pi\) | ||||
−0.613900 | + | 0.789384i | \(0.710400\pi\) | |||||||
\(200\) | −3.43576 | + | 3.63257i | −0.242945 | + | 0.256861i | ||||
\(201\) | 18.9556 | 1.33703 | ||||||||
\(202\) | 5.61775i | 0.395264i | ||||||||
\(203\) | − | 19.6409i | − | 1.37852i | ||||||
\(204\) | −5.52749 | −0.387002 | ||||||||
\(205\) | −15.3387 | − | 6.10478i | −1.07130 | − | 0.426377i | ||||
\(206\) | −12.5663 | −0.875533 | ||||||||
\(207\) | − | 1.43930i | − | 0.100038i | ||||||
\(208\) | 5.26514i | 0.365071i | ||||||||
\(209\) | 0.280721 | 0.0194179 | ||||||||
\(210\) | 5.91751 | − | 14.8681i | 0.408347 | − | 1.02600i | ||||
\(211\) | 6.77438 | 0.466368 | 0.233184 | − | 0.972433i | \(-0.425086\pi\) | ||||
0.233184 | + | 0.972433i | \(0.425086\pi\) | |||||||
\(212\) | − | 6.10215i | − | 0.419097i | ||||||
\(213\) | − | 6.88297i | − | 0.471613i | ||||||
\(214\) | 17.9395 | 1.22632 | ||||||||
\(215\) | 4.58739 | − | 11.5261i | 0.312858 | − | 0.786075i | ||||
\(216\) | −5.59662 | −0.380802 | ||||||||
\(217\) | 14.0654i | 0.954825i | ||||||||
\(218\) | 3.09936i | 0.209915i | ||||||||
\(219\) | −10.7806 | −0.728487 | ||||||||
\(220\) | −0.0937647 | − | 0.0373183i | −0.00632161 | − | 0.00251600i | ||||
\(221\) | 18.9998 | 1.27807 | ||||||||
\(222\) | − | 1.53175i | − | 0.102804i | ||||||
\(223\) | − | 10.2559i | − | 0.686784i | −0.939192 | − | 0.343392i | \(-0.888424\pi\) | ||
0.939192 | − | 0.343392i | \(-0.111576\pi\) | |||||||
\(224\) | −4.67211 | −0.312168 | ||||||||
\(225\) | 2.37476 | + | 2.24610i | 0.158318 | + | 0.149740i | ||||
\(226\) | 4.36184 | 0.290145 | ||||||||
\(227\) | 11.2744i | 0.748306i | 0.927367 | + | 0.374153i | \(0.122066\pi\) | ||||
−0.927367 | + | 0.374153i | \(0.877934\pi\) | |||||||
\(228\) | − | 9.52749i | − | 0.630973i | ||||||
\(229\) | 9.40494 | 0.621496 | 0.310748 | − | 0.950492i | \(-0.399421\pi\) | ||||
0.310748 | + | 0.950492i | \(0.399421\pi\) | |||||||
\(230\) | −4.57405 | − | 1.82047i | −0.301604 | − | 0.120038i | ||||
\(231\) | 0.322987 | 0.0212510 | ||||||||
\(232\) | 4.20386i | 0.275997i | ||||||||
\(233\) | − | 3.22867i | − | 0.211517i | −0.994392 | − | 0.105759i | \(-0.966273\pi\) | ||
0.994392 | − | 0.105759i | \(-0.0337271\pi\) | |||||||
\(234\) | 3.44204 | 0.225013 | ||||||||
\(235\) | −3.53961 | + | 8.89348i | −0.230898 | + | 0.580147i | ||||
\(236\) | 13.5275 | 0.880565 | ||||||||
\(237\) | 13.3645i | 0.868118i | ||||||||
\(238\) | 16.8598i | 1.09286i | ||||||||
\(239\) | 17.8612 | 1.15534 | 0.577672 | − | 0.816269i | \(-0.303961\pi\) | ||||
0.577672 | + | 0.816269i | \(0.303961\pi\) | |||||||
\(240\) | −1.26656 | + | 3.18231i | −0.0817561 | + | 0.205417i | ||||
\(241\) | 26.6840 | 1.71887 | 0.859434 | − | 0.511248i | \(-0.170816\pi\) | ||||
0.859434 | + | 0.511248i | \(0.170816\pi\) | |||||||
\(242\) | 10.9980i | 0.706976i | ||||||||
\(243\) | 6.66286i | 0.427423i | ||||||||
\(244\) | 4.27299 | 0.273550 | ||||||||
\(245\) | −30.8074 | − | 12.2614i | −1.96821 | − | 0.783349i | ||||
\(246\) | −11.3089 | −0.721029 | ||||||||
\(247\) | 32.7492i | 2.08378i | ||||||||
\(248\) | − | 3.01051i | − | 0.191168i | ||||||
\(249\) | 1.34829 | 0.0854447 | ||||||||
\(250\) | 10.1417 | − | 4.70597i | 0.641417 | − | 0.297632i | ||||
\(251\) | −30.1552 | −1.90338 | −0.951690 | − | 0.307060i | \(-0.900655\pi\) | ||||
−0.951690 | + | 0.307060i | \(0.900655\pi\) | |||||||
\(252\) | 3.05436i | 0.192406i | ||||||||
\(253\) | − | 0.0993641i | − | 0.00624697i | ||||||
\(254\) | −17.6572 | −1.10791 | ||||||||
\(255\) | 11.4837 | + | 4.57052i | 0.719139 | + | 0.286217i | ||||
\(256\) | 1.00000 | 0.0625000 | ||||||||
\(257\) | 3.15376i | 0.196726i | 0.995151 | + | 0.0983632i | \(0.0313607\pi\) | ||||
−0.995151 | + | 0.0983632i | \(0.968639\pi\) | |||||||
\(258\) | − | 8.49798i | − | 0.529061i | ||||||
\(259\) | −4.67211 | −0.290311 | ||||||||
\(260\) | 4.35359 | − | 10.9387i | 0.269998 | − | 0.678388i | ||||
\(261\) | 2.74824 | 0.170112 | ||||||||
\(262\) | 10.3103i | 0.636970i | ||||||||
\(263\) | 14.0332i | 0.865322i | 0.901557 | + | 0.432661i | \(0.142425\pi\) | ||||
−0.901557 | + | 0.432661i | \(0.857575\pi\) | |||||||
\(264\) | −0.0691309 | −0.00425471 | ||||||||
\(265\) | −5.04569 | + | 12.6776i | −0.309954 | + | 0.778780i | ||||
\(266\) | −29.0605 | −1.78182 | ||||||||
\(267\) | − | 15.2808i | − | 0.935167i | ||||||
\(268\) | 12.3751i | 0.755932i | ||||||||
\(269\) | 30.1257 | 1.83679 | 0.918397 | − | 0.395660i | \(-0.129484\pi\) | ||||
0.918397 | + | 0.395660i | \(0.129484\pi\) | |||||||
\(270\) | 11.6274 | + | 4.62768i | 0.707618 | + | 0.281632i | ||||
\(271\) | 14.8802 | 0.903910 | 0.451955 | − | 0.892041i | \(-0.350727\pi\) | ||||
0.451955 | + | 0.892041i | \(0.350727\pi\) | |||||||
\(272\) | − | 3.60861i | − | 0.218804i | ||||||
\(273\) | 37.6800i | 2.28049i | ||||||||
\(274\) | −3.21863 | −0.194445 | ||||||||
\(275\) | 0.163945 | + | 0.155063i | 0.00988625 | + | 0.00935063i | ||||
\(276\) | −3.37235 | −0.202992 | ||||||||
\(277\) | − | 0.147278i | − | 0.00884908i | −0.999990 | − | 0.00442454i | \(-0.998592\pi\) | ||
0.999990 | − | 0.00442454i | \(-0.00140838\pi\) | |||||||
\(278\) | 20.9400i | 1.25590i | ||||||||
\(279\) | −1.96810 | −0.117827 | ||||||||
\(280\) | 9.70662 | + | 3.86323i | 0.580082 | + | 0.230872i | ||||
\(281\) | −25.5247 | −1.52268 | −0.761339 | − | 0.648354i | \(-0.775458\pi\) | ||||
−0.761339 | + | 0.648354i | \(0.775458\pi\) | |||||||
\(282\) | 6.55699i | 0.390463i | ||||||||
\(283\) | 0.0562691i | 0.00334485i | 0.999999 | + | 0.00167242i | \(0.000532349\pi\) | ||||
−0.999999 | + | 0.00167242i | \(0.999468\pi\) | |||||||
\(284\) | 4.49354 | 0.266642 | ||||||||
\(285\) | −7.87801 | + | 19.7940i | −0.466653 | + | 1.17250i | ||||
\(286\) | 0.237626 | 0.0140511 | ||||||||
\(287\) | 34.4942i | 2.03613i | ||||||||
\(288\) | − | 0.653743i | − | 0.0385222i | ||||||
\(289\) | 3.97793 | 0.233996 | ||||||||
\(290\) | 3.47605 | − | 8.73380i | 0.204121 | − | 0.512866i | ||||
\(291\) | 0.368245 | 0.0215869 | ||||||||
\(292\) | − | 7.03811i | − | 0.411874i | ||||||
\(293\) | 13.7033i | 0.800557i | 0.916394 | + | 0.400278i | \(0.131087\pi\) | ||||
−0.916394 | + | 0.400278i | \(0.868913\pi\) | |||||||
\(294\) | −22.7137 | −1.32469 | ||||||||
\(295\) | −28.1043 | − | 11.1855i | −1.63629 | − | 0.651245i | ||||
\(296\) | 1.00000 | 0.0581238 | ||||||||
\(297\) | 0.252586i | 0.0146565i | ||||||||
\(298\) | − | 21.9832i | − | 1.27345i | ||||||
\(299\) | 11.5919 | 0.670377 | ||||||||
\(300\) | 5.26273 | − | 5.56418i | 0.303844 | − | 0.321248i | ||||
\(301\) | −25.9204 | −1.49403 | ||||||||
\(302\) | − | 14.1877i | − | 0.816411i | ||||||
\(303\) | − | 8.60499i | − | 0.494344i | ||||||
\(304\) | 6.22000 | 0.356742 | ||||||||
\(305\) | −8.87742 | − | 3.53321i | −0.508320 | − | 0.202311i | ||||
\(306\) | −2.35910 | −0.134861 | ||||||||
\(307\) | 17.5823i | 1.00348i | 0.865020 | + | 0.501738i | \(0.167306\pi\) | ||||
−0.865020 | + | 0.501738i | \(0.832694\pi\) | |||||||
\(308\) | 0.210861i | 0.0120149i | ||||||||
\(309\) | 19.2484 | 1.09500 | ||||||||
\(310\) | −2.48931 | + | 6.25454i | −0.141383 | + | 0.355234i | ||||
\(311\) | 0.353133 | 0.0200244 | 0.0100122 | − | 0.999950i | \(-0.496813\pi\) | ||||
0.0100122 | + | 0.999950i | \(0.496813\pi\) | |||||||
\(312\) | − | 8.06487i | − | 0.456583i | ||||||
\(313\) | − | 18.8717i | − | 1.06669i | −0.845897 | − | 0.533346i | \(-0.820934\pi\) | ||
0.845897 | − | 0.533346i | \(-0.179066\pi\) | |||||||
\(314\) | 19.9316 | 1.12481 | ||||||||
\(315\) | 2.52556 | − | 6.34563i | 0.142299 | − | 0.357536i | ||||
\(316\) | −8.72499 | −0.490819 | ||||||||
\(317\) | − | 15.1979i | − | 0.853601i | −0.904346 | − | 0.426800i | \(-0.859641\pi\) | ||
0.904346 | − | 0.426800i | \(-0.140359\pi\) | |||||||
\(318\) | 9.34696i | 0.524152i | ||||||||
\(319\) | 0.189728 | 0.0106228 | ||||||||
\(320\) | −2.07757 | − | 0.826871i | −0.116140 | − | 0.0462235i | ||||
\(321\) | −27.4788 | −1.53372 | ||||||||
\(322\) | 10.2863i | 0.573232i | ||||||||
\(323\) | − | 22.4456i | − | 1.24890i | ||||||
\(324\) | 6.61139 | 0.367300 | ||||||||
\(325\) | −18.0897 | + | 19.1260i | −1.00344 | + | 1.06092i | ||||
\(326\) | 8.65087 | 0.479127 | ||||||||
\(327\) | − | 4.74745i | − | 0.262535i | ||||||
\(328\) | − | 7.38299i | − | 0.407658i | ||||||
\(329\) | 20.0000 | 1.10264 | ||||||||
\(330\) | 0.143624 | + | 0.0571623i | 0.00790624 | + | 0.00314668i | ||||
\(331\) | −23.0210 | −1.26535 | −0.632674 | − | 0.774418i | \(-0.718043\pi\) | ||||
−0.632674 | + | 0.774418i | \(0.718043\pi\) | |||||||
\(332\) | 0.880231i | 0.0483090i | ||||||||
\(333\) | − | 0.653743i | − | 0.0358249i | ||||||
\(334\) | 11.9640 | 0.654641 | ||||||||
\(335\) | 10.2326 | − | 25.7102i | 0.559069 | − | 1.40470i | ||||
\(336\) | 7.15650 | 0.390419 | ||||||||
\(337\) | − | 34.0776i | − | 1.85633i | −0.372173 | − | 0.928163i | \(-0.621387\pi\) | ||
0.372173 | − | 0.928163i | \(-0.378613\pi\) | |||||||
\(338\) | 14.7216i | 0.800752i | ||||||||
\(339\) | −6.68125 | −0.362876 | ||||||||
\(340\) | −2.98386 | + | 7.49713i | −0.161822 | + | 0.406589i | ||||
\(341\) | −0.135870 | −0.00735779 | ||||||||
\(342\) | − | 4.06628i | − | 0.219879i | ||||||
\(343\) | 36.5761i | 1.97493i | ||||||||
\(344\) | 5.54789 | 0.299122 | ||||||||
\(345\) | 7.00629 | + | 2.78850i | 0.377206 | + | 0.150128i | ||||
\(346\) | −5.33508 | −0.286816 | ||||||||
\(347\) | − | 13.8449i | − | 0.743236i | −0.928386 | − | 0.371618i | \(-0.878803\pi\) | ||
0.928386 | − | 0.371618i | \(-0.121197\pi\) | |||||||
\(348\) | − | 6.43926i | − | 0.345181i | ||||||
\(349\) | −11.3765 | −0.608970 | −0.304485 | − | 0.952517i | \(-0.598484\pi\) | ||||
−0.304485 | + | 0.952517i | \(0.598484\pi\) | |||||||
\(350\) | −16.9718 | − | 16.0523i | −0.907179 | − | 0.858029i | ||||
\(351\) | −29.4670 | −1.57283 | ||||||||
\(352\) | − | 0.0451320i | − | 0.00240554i | ||||||
\(353\) | 19.2631i | 1.02527i | 0.858606 | + | 0.512636i | \(0.171331\pi\) | ||||
−0.858606 | + | 0.512636i | \(0.828669\pi\) | |||||||
\(354\) | −20.7207 | −1.10129 | ||||||||
\(355\) | −9.33562 | − | 3.71558i | −0.495483 | − | 0.197202i | ||||
\(356\) | 9.97602 | 0.528728 | ||||||||
\(357\) | − | 25.8250i | − | 1.36681i | ||||||
\(358\) | − | 5.27905i | − | 0.279007i | ||||||
\(359\) | −14.6645 | −0.773961 | −0.386980 | − | 0.922088i | \(-0.626482\pi\) | ||||
−0.386980 | + | 0.922088i | \(0.626482\pi\) | |||||||
\(360\) | −0.540561 | + | 1.35819i | −0.0284901 | + | 0.0715831i | ||||
\(361\) | 19.6884 | 1.03623 | ||||||||
\(362\) | − | 17.7448i | − | 0.932643i | ||||||
\(363\) | − | 16.8461i | − | 0.884192i | ||||||
\(364\) | −24.5993 | −1.28935 | ||||||||
\(365\) | −5.81961 | + | 14.6221i | −0.304612 | + | 0.765357i | ||||
\(366\) | −6.54515 | −0.342121 | ||||||||
\(367\) | − | 0.868349i | − | 0.0453275i | −0.999743 | − | 0.0226637i | \(-0.992785\pi\) | ||
0.999743 | − | 0.0226637i | \(-0.00721471\pi\) | |||||||
\(368\) | − | 2.20164i | − | 0.114768i | ||||||
\(369\) | −4.82658 | −0.251262 | ||||||||
\(370\) | −2.07757 | − | 0.826871i | −0.108008 | − | 0.0429870i | ||||
\(371\) | 28.5099 | 1.48016 | ||||||||
\(372\) | 4.61135i | 0.239087i | ||||||||
\(373\) | 32.4555i | 1.68048i | 0.542214 | + | 0.840240i | \(0.317586\pi\) | ||||
−0.542214 | + | 0.840240i | \(0.682414\pi\) | |||||||
\(374\) | −0.162864 | −0.00842148 | ||||||||
\(375\) | −15.5345 | + | 7.20837i | −0.802200 | + | 0.372239i | ||||
\(376\) | −4.28072 | −0.220761 | ||||||||
\(377\) | 22.1339i | 1.13995i | ||||||||
\(378\) | − | 26.1480i | − | 1.34491i | ||||||
\(379\) | 30.2511 | 1.55389 | 0.776947 | − | 0.629566i | \(-0.216767\pi\) | ||||
0.776947 | + | 0.629566i | \(0.216767\pi\) | |||||||
\(380\) | −12.9225 | − | 5.14314i | −0.662909 | − | 0.263838i | ||||
\(381\) | 27.0465 | 1.38563 | ||||||||
\(382\) | 3.11649i | 0.159453i | ||||||||
\(383\) | 14.4935i | 0.740585i | 0.928915 | + | 0.370293i | \(0.120743\pi\) | ||||
−0.928915 | + | 0.370293i | \(0.879257\pi\) | |||||||
\(384\) | −1.53175 | −0.0781668 | ||||||||
\(385\) | 0.174355 | − | 0.438079i | 0.00888597 | − | 0.0223266i | ||||
\(386\) | −8.78278 | −0.447032 | ||||||||
\(387\) | − | 3.62689i | − | 0.184365i | ||||||
\(388\) | 0.240408i | 0.0122049i | ||||||||
\(389\) | −36.9033 | −1.87107 | −0.935537 | − | 0.353229i | \(-0.885084\pi\) | ||||
−0.935537 | + | 0.353229i | \(0.885084\pi\) | |||||||
\(390\) | −6.66861 | + | 16.7553i | −0.337678 | + | 0.848438i | ||||
\(391\) | −7.94485 | −0.401788 | ||||||||
\(392\) | − | 14.8286i | − | 0.748958i | ||||||
\(393\) | − | 15.7927i | − | 0.796639i | ||||||
\(394\) | −7.00278 | −0.352795 | ||||||||
\(395\) | 18.1267 | + | 7.21444i | 0.912056 | + | 0.362998i | ||||
\(396\) | −0.0295047 | −0.00148267 | ||||||||
\(397\) | − | 22.9365i | − | 1.15115i | −0.817749 | − | 0.575575i | \(-0.804778\pi\) | ||
0.817749 | − | 0.575575i | \(-0.195222\pi\) | |||||||
\(398\) | 17.3202i | 0.868185i | ||||||||
\(399\) | 44.5135 | 2.22846 | ||||||||
\(400\) | 3.63257 | + | 3.43576i | 0.181628 | + | 0.171788i | ||||
\(401\) | 27.4332 | 1.36995 | 0.684973 | − | 0.728568i | \(-0.259814\pi\) | ||||
0.684973 | + | 0.728568i | \(0.259814\pi\) | |||||||
\(402\) | − | 18.9556i | − | 0.945420i | ||||||
\(403\) | − | 15.8508i | − | 0.789582i | ||||||
\(404\) | 5.61775 | 0.279494 | ||||||||
\(405\) | −13.7356 | − | 5.46677i | −0.682528 | − | 0.271646i | ||||
\(406\) | −19.6409 | −0.974761 | ||||||||
\(407\) | − | 0.0451320i | − | 0.00223711i | ||||||
\(408\) | 5.52749i | 0.273651i | ||||||||
\(409\) | 21.3920 | 1.05777 | 0.528883 | − | 0.848695i | \(-0.322611\pi\) | ||||
0.528883 | + | 0.848695i | \(0.322611\pi\) | |||||||
\(410\) | −6.10478 | + | 15.3387i | −0.301494 | + | 0.757522i | ||||
\(411\) | 4.93014 | 0.243186 | ||||||||
\(412\) | 12.5663i | 0.619095i | ||||||||
\(413\) | 63.2019i | 3.10996i | ||||||||
\(414\) | −1.43930 | −0.0707379 | ||||||||
\(415\) | 0.727838 | − | 1.82874i | 0.0357282 | − | 0.0897693i | ||||
\(416\) | 5.26514 | 0.258144 | ||||||||
\(417\) | − | 32.0749i | − | 1.57071i | ||||||
\(418\) | − | 0.280721i | − | 0.0137305i | ||||||
\(419\) | −23.0891 | −1.12797 | −0.563987 | − | 0.825784i | \(-0.690733\pi\) | ||||
−0.563987 | + | 0.825784i | \(0.690733\pi\) | |||||||
\(420\) | −14.8681 | − | 5.91751i | −0.725490 | − | 0.288745i | ||||
\(421\) | −1.83757 | −0.0895576 | −0.0447788 | − | 0.998997i | \(-0.514258\pi\) | ||||
−0.0447788 | + | 0.998997i | \(0.514258\pi\) | |||||||
\(422\) | − | 6.77438i | − | 0.329772i | ||||||
\(423\) | 2.79849i | 0.136067i | ||||||||
\(424\) | −6.10215 | −0.296346 | ||||||||
\(425\) | 12.3983 | − | 13.1085i | 0.601407 | − | 0.635857i | ||||
\(426\) | −6.88297 | −0.333481 | ||||||||
\(427\) | 19.9639i | 0.966120i | ||||||||
\(428\) | − | 17.9395i | − | 0.867137i | ||||||
\(429\) | −0.363983 | −0.0175733 | ||||||||
\(430\) | −11.5261 | − | 4.58739i | −0.555839 | − | 0.221224i | ||||
\(431\) | −15.9796 | −0.769710 | −0.384855 | − | 0.922977i | \(-0.625749\pi\) | ||||
−0.384855 | + | 0.922977i | \(0.625749\pi\) | |||||||
\(432\) | 5.59662i | 0.269267i | ||||||||
\(433\) | − | 25.2525i | − | 1.21356i | −0.794870 | − | 0.606779i | \(-0.792461\pi\) | ||
0.794870 | − | 0.606779i | \(-0.207539\pi\) | |||||||
\(434\) | 14.0654 | 0.675163 | ||||||||
\(435\) | −5.32444 | + | 13.3780i | −0.255287 | + | 0.641426i | ||||
\(436\) | 3.09936 | 0.148433 | ||||||||
\(437\) | − | 13.6942i | − | 0.655082i | ||||||
\(438\) | 10.7806i | 0.515118i | ||||||||
\(439\) | 9.30792 | 0.444243 | 0.222121 | − | 0.975019i | \(-0.428702\pi\) | ||||
0.222121 | + | 0.975019i | \(0.428702\pi\) | |||||||
\(440\) | −0.0373183 | + | 0.0937647i | −0.00177908 | + | 0.00447005i | ||||
\(441\) | −9.69410 | −0.461624 | ||||||||
\(442\) | − | 18.9998i | − | 0.903729i | ||||||
\(443\) | − | 9.52445i | − | 0.452520i | −0.974067 | − | 0.226260i | \(-0.927350\pi\) | ||
0.974067 | − | 0.226260i | \(-0.0726500\pi\) | |||||||
\(444\) | −1.53175 | −0.0726936 | ||||||||
\(445\) | −20.7258 | − | 8.24888i | −0.982499 | − | 0.391035i | ||||
\(446\) | −10.2559 | −0.485629 | ||||||||
\(447\) | 33.6728i | 1.59267i | ||||||||
\(448\) | 4.67211i | 0.220736i | ||||||||
\(449\) | −5.43278 | −0.256389 | −0.128194 | − | 0.991749i | \(-0.540918\pi\) | ||||
−0.128194 | + | 0.991749i | \(0.540918\pi\) | |||||||
\(450\) | 2.24610 | − | 2.37476i | 0.105882 | − | 0.111947i | ||||
\(451\) | −0.333209 | −0.0156902 | ||||||||
\(452\) | − | 4.36184i | − | 0.205164i | ||||||
\(453\) | 21.7320i | 1.02106i | ||||||||
\(454\) | 11.2744 | 0.529132 | ||||||||
\(455\) | 51.1067 | + | 20.3404i | 2.39592 | + | 0.953575i | ||||
\(456\) | −9.52749 | −0.446166 | ||||||||
\(457\) | − | 7.54789i | − | 0.353076i | −0.984294 | − | 0.176538i | \(-0.943510\pi\) | ||
0.984294 | − | 0.176538i | \(-0.0564898\pi\) | |||||||
\(458\) | − | 9.40494i | − | 0.439464i | ||||||
\(459\) | 20.1960 | 0.942670 | ||||||||
\(460\) | −1.82047 | + | 4.57405i | −0.0848798 | + | 0.213266i | ||||
\(461\) | −35.4323 | −1.65025 | −0.825124 | − | 0.564952i | \(-0.808895\pi\) | ||||
−0.825124 | + | 0.564952i | \(0.808895\pi\) | |||||||
\(462\) | − | 0.322987i | − | 0.0150267i | ||||||
\(463\) | 20.9124i | 0.971883i | 0.873991 | + | 0.485942i | \(0.161523\pi\) | ||||
−0.873991 | + | 0.485942i | \(0.838477\pi\) | |||||||
\(464\) | 4.20386 | 0.195159 | ||||||||
\(465\) | 3.81299 | − | 9.58039i | 0.176823 | − | 0.444280i | ||||
\(466\) | −3.22867 | −0.149565 | ||||||||
\(467\) | − | 6.62523i | − | 0.306579i | −0.988181 | − | 0.153289i | \(-0.951013\pi\) | ||
0.988181 | − | 0.153289i | \(-0.0489867\pi\) | |||||||
\(468\) | − | 3.44204i | − | 0.159109i | ||||||
\(469\) | −57.8180 | −2.66979 | ||||||||
\(470\) | 8.89348 | + | 3.53961i | 0.410226 | + | 0.163270i | ||||
\(471\) | −30.5303 | −1.40676 | ||||||||
\(472\) | − | 13.5275i | − | 0.622653i | ||||||
\(473\) | − | 0.250387i | − | 0.0115128i | ||||||
\(474\) | 13.3645 | 0.613852 | ||||||||
\(475\) | 22.5946 | + | 21.3704i | 1.03671 | + | 0.980543i | ||||
\(476\) | 16.8598 | 0.772769 | ||||||||
\(477\) | 3.98923i | 0.182654i | ||||||||
\(478\) | − | 17.8612i | − | 0.816952i | ||||||
\(479\) | 29.4581 | 1.34597 | 0.672987 | − | 0.739655i | \(-0.265011\pi\) | ||||
0.672987 | + | 0.739655i | \(0.265011\pi\) | |||||||
\(480\) | 3.18231 | + | 1.26656i | 0.145252 | + | 0.0578103i | ||||
\(481\) | 5.26514 | 0.240070 | ||||||||
\(482\) | − | 26.6840i | − | 1.21542i | ||||||
\(483\) | − | 15.7560i | − | 0.716923i | ||||||
\(484\) | 10.9980 | 0.499907 | ||||||||
\(485\) | 0.198786 | − | 0.499463i | 0.00902642 | − | 0.0226795i | ||||
\(486\) | 6.66286 | 0.302233 | ||||||||
\(487\) | − | 8.80654i | − | 0.399063i | −0.979891 | − | 0.199531i | \(-0.936058\pi\) | ||
0.979891 | − | 0.199531i | \(-0.0639419\pi\) | |||||||
\(488\) | − | 4.27299i | − | 0.193429i | ||||||
\(489\) | −13.2510 | −0.599229 | ||||||||
\(490\) | −12.2614 | + | 30.8074i | −0.553912 | + | 1.39174i | ||||
\(491\) | 5.14258 | 0.232082 | 0.116041 | − | 0.993244i | \(-0.462980\pi\) | ||||
0.116041 | + | 0.993244i | \(0.462980\pi\) | |||||||
\(492\) | 11.3089i | 0.509844i | ||||||||
\(493\) | − | 15.1701i | − | 0.683227i | ||||||
\(494\) | 32.7492 | 1.47345 | ||||||||
\(495\) | 0.0612980 | + | 0.0243966i | 0.00275514 | + | 0.00109654i | ||||
\(496\) | −3.01051 | −0.135176 | ||||||||
\(497\) | 20.9943i | 0.941723i | ||||||||
\(498\) | − | 1.34829i | − | 0.0604185i | ||||||
\(499\) | 12.9692 | 0.580579 | 0.290290 | − | 0.956939i | \(-0.406248\pi\) | ||||
0.290290 | + | 0.956939i | \(0.406248\pi\) | |||||||
\(500\) | −4.70597 | − | 10.1417i | −0.210457 | − | 0.453550i | ||||
\(501\) | −18.3259 | −0.818739 | ||||||||
\(502\) | 30.1552i | 1.34589i | ||||||||
\(503\) | 17.2091i | 0.767314i | 0.923476 | + | 0.383657i | \(0.125336\pi\) | ||||
−0.923476 | + | 0.383657i | \(0.874664\pi\) | |||||||
\(504\) | 3.05436 | 0.136052 | ||||||||
\(505\) | −11.6713 | − | 4.64516i | −0.519364 | − | 0.206707i | ||||
\(506\) | −0.0993641 | −0.00441727 | ||||||||
\(507\) | − | 22.5499i | − | 1.00148i | ||||||
\(508\) | 17.6572i | 0.783413i | ||||||||
\(509\) | 12.1085 | 0.536698 | 0.268349 | − | 0.963322i | \(-0.413522\pi\) | ||||
0.268349 | + | 0.963322i | \(0.413522\pi\) | |||||||
\(510\) | 4.57052 | − | 11.4837i | 0.202386 | − | 0.508508i | ||||
\(511\) | 32.8828 | 1.45465 | ||||||||
\(512\) | − | 1.00000i | − | 0.0441942i | ||||||
\(513\) | 34.8110i | 1.53694i | ||||||||
\(514\) | 3.15376 | 0.139107 | ||||||||
\(515\) | 10.3907 | − | 26.1072i | 0.457868 | − | 1.15042i | ||||
\(516\) | −8.49798 | −0.374103 | ||||||||
\(517\) | 0.193197i | 0.00849681i | ||||||||
\(518\) | 4.67211i | 0.205281i | ||||||||
\(519\) | 8.17201 | 0.358711 | ||||||||
\(520\) | −10.9387 | − | 4.35359i | −0.479692 | − | 0.190918i | ||||
\(521\) | −18.7936 | −0.823362 | −0.411681 | − | 0.911328i | \(-0.635058\pi\) | ||||
−0.411681 | + | 0.911328i | \(0.635058\pi\) | |||||||
\(522\) | − | 2.74824i | − | 0.120287i | ||||||
\(523\) | − | 42.9985i | − | 1.88019i | −0.340909 | − | 0.940096i | \(-0.610735\pi\) | ||
0.340909 | − | 0.940096i | \(-0.389265\pi\) | |||||||
\(524\) | 10.3103 | 0.450406 | ||||||||
\(525\) | 25.9965 | + | 24.5880i | 1.13458 | + | 1.07311i | ||||
\(526\) | 14.0332 | 0.611875 | ||||||||
\(527\) | 10.8638i | 0.473233i | ||||||||
\(528\) | 0.0691309i | 0.00300853i | ||||||||
\(529\) | 18.1528 | 0.789252 | ||||||||
\(530\) | 12.6776 | + | 5.04569i | 0.550680 | + | 0.219171i | ||||
\(531\) | −8.84350 | −0.383775 | ||||||||
\(532\) | 29.0605i | 1.25993i | ||||||||
\(533\) | − | 38.8725i | − | 1.68375i | ||||||
\(534\) | −15.2808 | −0.661263 | ||||||||
\(535\) | −14.8336 | + | 37.2704i | −0.641314 | + | 1.61134i | ||||
\(536\) | 12.3751 | 0.534525 | ||||||||
\(537\) | 8.08619i | 0.348945i | ||||||||
\(538\) | − | 30.1257i | − | 1.29881i | ||||||
\(539\) | −0.669244 | −0.0288264 | ||||||||
\(540\) | 4.62768 | − | 11.6274i | 0.199144 | − | 0.500362i | ||||
\(541\) | 30.1751 | 1.29733 | 0.648664 | − | 0.761075i | \(-0.275328\pi\) | ||||
0.648664 | + | 0.761075i | \(0.275328\pi\) | |||||||
\(542\) | − | 14.8802i | − | 0.639161i | ||||||
\(543\) | 27.1805i | 1.16643i | ||||||||
\(544\) | −3.60861 | −0.154718 | ||||||||
\(545\) | −6.43914 | − | 2.56278i | −0.275822 | − | 0.109777i | ||||
\(546\) | 37.6800 | 1.61255 | ||||||||
\(547\) | 31.6736i | 1.35426i | 0.735862 | + | 0.677132i | \(0.236777\pi\) | ||||
−0.735862 | + | 0.677132i | \(0.763223\pi\) | |||||||
\(548\) | 3.21863i | 0.137493i | ||||||||
\(549\) | −2.79344 | −0.119221 | ||||||||
\(550\) | 0.155063 | − | 0.163945i | 0.00661189 | − | 0.00699063i | ||||
\(551\) | 26.1480 | 1.11394 | ||||||||
\(552\) | 3.37235i | 0.143537i | ||||||||
\(553\) | − | 40.7641i | − | 1.73347i | ||||||
\(554\) | −0.147278 | −0.00625724 | ||||||||
\(555\) | 3.18231 | + | 1.26656i | 0.135082 | + | 0.0537625i | ||||
\(556\) | 20.9400 | 0.888055 | ||||||||
\(557\) | 0.708971i | 0.0300401i | 0.999887 | + | 0.0150200i | \(0.00478120\pi\) | ||||
−0.999887 | + | 0.0150200i | \(0.995219\pi\) | |||||||
\(558\) | 1.96810i | 0.0833163i | ||||||||
\(559\) | 29.2104 | 1.23547 | ||||||||
\(560\) | 3.86323 | − | 9.70662i | 0.163251 | − | 0.410180i | ||||
\(561\) | 0.249466 | 0.0105325 | ||||||||
\(562\) | 25.5247i | 1.07670i | ||||||||
\(563\) | − | 29.9399i | − | 1.26182i | −0.775857 | − | 0.630908i | \(-0.782682\pi\) | ||
0.775857 | − | 0.630908i | \(-0.217318\pi\) | |||||||
\(564\) | 6.55699 | 0.276099 | ||||||||
\(565\) | −3.60668 | + | 9.06202i | −0.151734 | + | 0.381242i | ||||
\(566\) | 0.0562691 | 0.00236517 | ||||||||
\(567\) | 30.8892i | 1.29722i | ||||||||
\(568\) | − | 4.49354i | − | 0.188545i | ||||||
\(569\) | −21.1453 | −0.886456 | −0.443228 | − | 0.896409i | \(-0.646167\pi\) | ||||
−0.443228 | + | 0.896409i | \(0.646167\pi\) | |||||||
\(570\) | 19.7940 | + | 7.87801i | 0.829079 | + | 0.329973i | ||||
\(571\) | −19.5326 | −0.817416 | −0.408708 | − | 0.912665i | \(-0.634020\pi\) | ||||
−0.408708 | + | 0.912665i | \(0.634020\pi\) | |||||||
\(572\) | − | 0.237626i | − | 0.00993564i | ||||||
\(573\) | − | 4.77368i | − | 0.199423i | ||||||
\(574\) | 34.4942 | 1.43976 | ||||||||
\(575\) | 7.56429 | − | 7.99759i | 0.315453 | − | 0.333523i | ||||
\(576\) | −0.653743 | −0.0272393 | ||||||||
\(577\) | − | 1.08303i | − | 0.0450873i | −0.999746 | − | 0.0225436i | \(-0.992824\pi\) | ||
0.999746 | − | 0.0225436i | \(-0.00717647\pi\) | |||||||
\(578\) | − | 3.97793i | − | 0.165460i | ||||||
\(579\) | 13.4530 | 0.559088 | ||||||||
\(580\) | −8.73380 | − | 3.47605i | −0.362651 | − | 0.144335i | ||||
\(581\) | −4.11254 | −0.170617 | ||||||||
\(582\) | − | 0.368245i | − | 0.0152642i | ||||||
\(583\) | 0.275402i | 0.0114060i | ||||||||
\(584\) | −7.03811 | −0.291239 | ||||||||
\(585\) | −2.84613 | + | 7.15108i | −0.117673 | + | 0.295661i | ||||
\(586\) | 13.7033 | 0.566079 | ||||||||
\(587\) | − | 1.16839i | − | 0.0482244i | −0.999709 | − | 0.0241122i | \(-0.992324\pi\) | ||
0.999709 | − | 0.0241122i | \(-0.00767590\pi\) | |||||||
\(588\) | 22.7137i | 0.936698i | ||||||||
\(589\) | −18.7254 | −0.771566 | ||||||||
\(590\) | −11.1855 | + | 28.1043i | −0.460499 | + | 1.15703i | ||||
\(591\) | 10.7265 | 0.441230 | ||||||||
\(592\) | − | 1.00000i | − | 0.0410997i | ||||||
\(593\) | − | 6.01305i | − | 0.246926i | −0.992349 | − | 0.123463i | \(-0.960600\pi\) | ||
0.992349 | − | 0.123463i | \(-0.0394001\pi\) | |||||||
\(594\) | 0.252586 | 0.0103637 | ||||||||
\(595\) | −35.0274 | − | 13.9409i | −1.43598 | − | 0.571521i | ||||
\(596\) | −21.9832 | −0.900467 | ||||||||
\(597\) | − | 26.5303i | − | 1.08581i | ||||||
\(598\) | − | 11.5919i | − | 0.474028i | ||||||
\(599\) | 11.9208 | 0.487072 | 0.243536 | − | 0.969892i | \(-0.421693\pi\) | ||||
0.243536 | + | 0.969892i | \(0.421693\pi\) | |||||||
\(600\) | −5.56418 | − | 5.26273i | −0.227157 | − | 0.214850i | ||||
\(601\) | 21.7772 | 0.888309 | 0.444155 | − | 0.895950i | \(-0.353504\pi\) | ||||
0.444155 | + | 0.895950i | \(0.353504\pi\) | |||||||
\(602\) | 25.9204i | 1.05644i | ||||||||
\(603\) | − | 8.09015i | − | 0.329457i | ||||||
\(604\) | −14.1877 | −0.577290 | ||||||||
\(605\) | −22.8490 | − | 9.09390i | −0.928944 | − | 0.369720i | ||||
\(606\) | −8.60499 | −0.349554 | ||||||||
\(607\) | − | 5.16486i | − | 0.209635i | −0.994491 | − | 0.104818i | \(-0.966574\pi\) | ||
0.994491 | − | 0.104818i | \(-0.0334259\pi\) | |||||||
\(608\) | − | 6.22000i | − | 0.252254i | ||||||
\(609\) | 30.0849 | 1.21910 | ||||||||
\(610\) | −3.53321 | + | 8.87742i | −0.143056 | + | 0.359436i | ||||
\(611\) | −22.5386 | −0.911813 | ||||||||
\(612\) | 2.35910i | 0.0953611i | ||||||||
\(613\) | − | 39.5817i | − | 1.59869i | −0.600873 | − | 0.799344i | \(-0.705180\pi\) | ||
0.600873 | − | 0.799344i | \(-0.294820\pi\) | |||||||
\(614\) | 17.5823 | 0.709565 | ||||||||
\(615\) | 9.35100 | − | 23.4950i | 0.377069 | − | 0.947409i | ||||
\(616\) | 0.210861 | 0.00849585 | ||||||||
\(617\) | − | 44.9917i | − | 1.81130i | −0.424027 | − | 0.905650i | \(-0.639384\pi\) | ||
0.424027 | − | 0.905650i | \(-0.360616\pi\) | |||||||
\(618\) | − | 19.2484i | − | 0.774283i | ||||||
\(619\) | −30.0465 | −1.20767 | −0.603836 | − | 0.797108i | \(-0.706362\pi\) | ||||
−0.603836 | + | 0.797108i | \(0.706362\pi\) | |||||||
\(620\) | 6.25454 | + | 2.48931i | 0.251188 | + | 0.0999729i | ||||
\(621\) | 12.3217 | 0.494453 | ||||||||
\(622\) | − | 0.353133i | − | 0.0141594i | ||||||
\(623\) | 46.6091i | 1.86735i | ||||||||
\(624\) | −8.06487 | −0.322853 | ||||||||
\(625\) | 1.39110 | + | 24.9613i | 0.0556438 | + | 0.998451i | ||||
\(626\) | −18.8717 | −0.754265 | ||||||||
\(627\) | 0.429994i | 0.0171723i | ||||||||
\(628\) | − | 19.9316i | − | 0.795359i | ||||||
\(629\) | −3.60861 | −0.143885 | ||||||||
\(630\) | −6.34563 | − | 2.52556i | −0.252816 | − | 0.100621i | ||||
\(631\) | 5.01448 | 0.199623 | 0.0998116 | − | 0.995006i | \(-0.468176\pi\) | ||||
0.0998116 | + | 0.995006i | \(0.468176\pi\) | |||||||
\(632\) | 8.72499i | 0.347061i | ||||||||
\(633\) | 10.3767i | 0.412435i | ||||||||
\(634\) | −15.1979 | −0.603587 | ||||||||
\(635\) | 14.6003 | − | 36.6841i | 0.579393 | − | 1.45576i | ||||
\(636\) | 9.34696 | 0.370631 | ||||||||
\(637\) | − | 78.0747i | − | 3.09343i | ||||||
\(638\) | − | 0.189728i | − | 0.00751142i | ||||||
\(639\) | −2.93762 | −0.116210 | ||||||||
\(640\) | −0.826871 | + | 2.07757i | −0.0326850 | + | 0.0821230i | ||||
\(641\) | 18.9133 | 0.747031 | 0.373515 | − | 0.927624i | \(-0.378152\pi\) | ||||
0.373515 | + | 0.927624i | \(0.378152\pi\) | |||||||
\(642\) | 27.4788i | 1.08450i | ||||||||
\(643\) | 22.9344i | 0.904444i | 0.891906 | + | 0.452222i | \(0.149368\pi\) | ||||
−0.891906 | + | 0.452222i | \(0.850632\pi\) | |||||||
\(644\) | 10.2863 | 0.405336 | ||||||||
\(645\) | 17.6551 | + | 7.02674i | 0.695170 | + | 0.276678i | ||||
\(646\) | −22.4456 | −0.883109 | ||||||||
\(647\) | − | 10.4741i | − | 0.411779i | −0.978575 | − | 0.205889i | \(-0.933991\pi\) | ||
0.978575 | − | 0.205889i | \(-0.0660087\pi\) | |||||||
\(648\) | − | 6.61139i | − | 0.259720i | ||||||
\(649\) | −0.610522 | −0.0239651 | ||||||||
\(650\) | 19.1260 | + | 18.0897i | 0.750182 | + | 0.709538i | ||||
\(651\) | −21.5447 | −0.844405 | ||||||||
\(652\) | − | 8.65087i | − | 0.338794i | ||||||
\(653\) | − | 44.7251i | − | 1.75023i | −0.483916 | − | 0.875115i | \(-0.660786\pi\) | ||
0.483916 | − | 0.875115i | \(-0.339214\pi\) | |||||||
\(654\) | −4.74745 | −0.185640 | ||||||||
\(655\) | −21.4203 | − | 8.52526i | −0.836959 | − | 0.333110i | ||||
\(656\) | −7.38299 | −0.288257 | ||||||||
\(657\) | 4.60111i | 0.179506i | ||||||||
\(658\) | − | 20.0000i | − | 0.779681i | ||||||
\(659\) | −15.1056 | −0.588431 | −0.294215 | − | 0.955739i | \(-0.595058\pi\) | ||||
−0.294215 | + | 0.955739i | \(0.595058\pi\) | |||||||
\(660\) | 0.0571623 | − | 0.143624i | 0.00222504 | − | 0.00559056i | ||||
\(661\) | 34.9654 | 1.36000 | 0.679998 | − | 0.733214i | \(-0.261981\pi\) | ||||
0.679998 | + | 0.733214i | \(0.261981\pi\) | |||||||
\(662\) | 23.0210i | 0.894736i | ||||||||
\(663\) | 29.1030i | 1.13027i | ||||||||
\(664\) | 0.880231 | 0.0341596 | ||||||||
\(665\) | 24.0293 | − | 60.3752i | 0.931817 | − | 2.34125i | ||||
\(666\) | −0.653743 | −0.0253320 | ||||||||
\(667\) | − | 9.25537i | − | 0.358369i | ||||||
\(668\) | − | 11.9640i | − | 0.462901i | ||||||
\(669\) | 15.7094 | 0.607361 | ||||||||
\(670\) | −25.7102 | − | 10.2326i | −0.993271 | − | 0.395322i | ||||
\(671\) | −0.192848 | −0.00744483 | ||||||||
\(672\) | − | 7.15650i | − | 0.276068i | ||||||
\(673\) | 35.2496i | 1.35877i | 0.733782 | + | 0.679385i | \(0.237754\pi\) | ||||
−0.733782 | + | 0.679385i | \(0.762246\pi\) | |||||||
\(674\) | −34.0776 | −1.31262 | ||||||||
\(675\) | −19.2286 | + | 20.3301i | −0.740111 | + | 0.782506i | ||||
\(676\) | 14.7216 | 0.566217 | ||||||||
\(677\) | 23.2835i | 0.894858i | 0.894320 | + | 0.447429i | \(0.147660\pi\) | ||||
−0.894320 | + | 0.447429i | \(0.852340\pi\) | |||||||
\(678\) | 6.68125i | 0.256592i | ||||||||
\(679\) | −1.12321 | −0.0431049 | ||||||||
\(680\) | 7.49713 | + | 2.98386i | 0.287502 | + | 0.114426i | ||||
\(681\) | −17.2695 | −0.661769 | ||||||||
\(682\) | 0.135870i | 0.00520274i | ||||||||
\(683\) | − | 11.8131i | − | 0.452017i | −0.974125 | − | 0.226008i | \(-0.927432\pi\) | ||
0.974125 | − | 0.226008i | \(-0.0725676\pi\) | |||||||
\(684\) | −4.06628 | −0.155478 | ||||||||
\(685\) | 2.66140 | − | 6.68693i | 0.101687 | − | 0.255494i | ||||
\(686\) | 36.5761 | 1.39648 | ||||||||
\(687\) | 14.4060i | 0.549624i | ||||||||
\(688\) | − | 5.54789i | − | 0.211511i | ||||||
\(689\) | −32.1286 | −1.22400 | ||||||||
\(690\) | 2.78850 | − | 7.00629i | 0.106157 | − | 0.266725i | ||||
\(691\) | 14.1858 | 0.539652 | 0.269826 | − | 0.962909i | \(-0.413034\pi\) | ||||
0.269826 | + | 0.962909i | \(0.413034\pi\) | |||||||
\(692\) | 5.33508i | 0.202809i | ||||||||
\(693\) | − | 0.137849i | − | 0.00523646i | ||||||
\(694\) | −13.8449 | −0.525547 | ||||||||
\(695\) | −43.5043 | − | 17.3147i | −1.65021 | − | 0.656784i | ||||
\(696\) | −6.43926 | −0.244080 | ||||||||
\(697\) | 26.6423i | 1.00915i | ||||||||
\(698\) | 11.3765i | 0.430607i | ||||||||
\(699\) | 4.94552 | 0.187057 | ||||||||
\(700\) | −16.0523 | + | 16.9718i | −0.606718 | + | 0.641472i | ||||
\(701\) | 19.2184 | 0.725870 | 0.362935 | − | 0.931815i | \(-0.381775\pi\) | ||||
0.362935 | + | 0.931815i | \(0.381775\pi\) | |||||||
\(702\) | 29.4670i | 1.11216i | ||||||||
\(703\) | − | 6.22000i | − | 0.234592i | ||||||
\(704\) | −0.0451320 | −0.00170097 | ||||||||
\(705\) | −13.6226 | − | 5.42179i | −0.513056 | − | 0.204196i | ||||
\(706\) | 19.2631 | 0.724976 | ||||||||
\(707\) | 26.2468i | 0.987111i | ||||||||
\(708\) | 20.7207i | 0.778733i | ||||||||
\(709\) | −4.52525 | −0.169949 | −0.0849746 | − | 0.996383i | \(-0.527081\pi\) | ||||
−0.0849746 | + | 0.996383i | \(0.527081\pi\) | |||||||
\(710\) | −3.71558 | + | 9.33562i | −0.139443 | + | 0.350360i | ||||
\(711\) | 5.70390 | 0.213913 | ||||||||
\(712\) | − | 9.97602i | − | 0.373867i | ||||||
\(713\) | 6.62805i | 0.248222i | ||||||||
\(714\) | −25.8250 | −0.966478 | ||||||||
\(715\) | −0.196486 | + | 0.493684i | −0.00734816 | + | 0.0184627i | ||||
\(716\) | −5.27905 | −0.197288 | ||||||||
\(717\) | 27.3589i | 1.02174i | ||||||||
\(718\) | 14.6645i | 0.547273i | ||||||||
\(719\) | −0.915477 | −0.0341415 | −0.0170708 | − | 0.999854i | \(-0.505434\pi\) | ||||
−0.0170708 | + | 0.999854i | \(0.505434\pi\) | |||||||
\(720\) | 1.35819 | + | 0.540561i | 0.0506169 | + | 0.0201455i | ||||
\(721\) | −58.7110 | −2.18651 | ||||||||
\(722\) | − | 19.6884i | − | 0.732728i | ||||||
\(723\) | 40.8732i | 1.52009i | ||||||||
\(724\) | −17.7448 | −0.659478 | ||||||||
\(725\) | 15.2708 | + | 14.4435i | 0.567143 | + | 0.536417i | ||||
\(726\) | −16.8461 | −0.625218 | ||||||||
\(727\) | 11.7429i | 0.435521i | 0.976002 | + | 0.217760i | \(0.0698752\pi\) | ||||
−0.976002 | + | 0.217760i | \(0.930125\pi\) | |||||||
\(728\) | 24.5993i | 0.911710i | ||||||||
\(729\) | −30.0400 | −1.11259 | ||||||||
\(730\) | 14.6221 | + | 5.81961i | 0.541189 | + | 0.215393i | ||||
\(731\) | −20.0202 | −0.740473 | ||||||||
\(732\) | 6.54515i | 0.241916i | ||||||||
\(733\) | 27.6776i | 1.02230i | 0.859493 | + | 0.511148i | \(0.170780\pi\) | ||||
−0.859493 | + | 0.511148i | \(0.829220\pi\) | |||||||
\(734\) | −0.868349 | −0.0320514 | ||||||||
\(735\) | 18.7813 | − | 47.1893i | 0.692760 | − | 1.74060i | ||||
\(736\) | −2.20164 | −0.0811534 | ||||||||
\(737\) | − | 0.558514i | − | 0.0205731i | ||||||
\(738\) | 4.82658i | 0.177669i | ||||||||
\(739\) | 6.52187 | 0.239911 | 0.119956 | − | 0.992779i | \(-0.461725\pi\) | ||||
0.119956 | + | 0.992779i | \(0.461725\pi\) | |||||||
\(740\) | −0.826871 | + | 2.07757i | −0.0303964 | + | 0.0763729i | ||||
\(741\) | −50.1635 | −1.84280 | ||||||||
\(742\) | − | 28.5099i | − | 1.04663i | ||||||
\(743\) | 43.0091i | 1.57785i | 0.614489 | + | 0.788925i | \(0.289362\pi\) | ||||
−0.614489 | + | 0.788925i | \(0.710638\pi\) | |||||||
\(744\) | 4.61135 | 0.169060 | ||||||||
\(745\) | 45.6716 | + | 18.1773i | 1.67328 | + | 0.665964i | ||||
\(746\) | 32.4555 | 1.18828 | ||||||||
\(747\) | − | 0.575445i | − | 0.0210544i | ||||||
\(748\) | 0.162864i | 0.00595489i | ||||||||
\(749\) | 83.8152 | 3.06254 | ||||||||
\(750\) | 7.20837 | + | 15.5345i | 0.263212 | + | 0.567241i | ||||
\(751\) | −29.7068 | −1.08402 | −0.542008 | − | 0.840373i | \(-0.682336\pi\) | ||||
−0.542008 | + | 0.840373i | \(0.682336\pi\) | |||||||
\(752\) | 4.28072i | 0.156102i | ||||||||
\(753\) | − | 46.1902i | − | 1.68327i | ||||||
\(754\) | 22.1339 | 0.806069 | ||||||||
\(755\) | 29.4759 | + | 11.7314i | 1.07274 | + | 0.426950i | ||||
\(756\) | −26.1480 | −0.950994 | ||||||||
\(757\) | − | 32.7918i | − | 1.19184i | −0.803044 | − | 0.595920i | \(-0.796788\pi\) | ||
0.803044 | − | 0.595920i | \(-0.203212\pi\) | |||||||
\(758\) | − | 30.2511i | − | 1.09877i | ||||||
\(759\) | 0.152201 | 0.00552455 | ||||||||
\(760\) | −5.14314 | + | 12.9225i | −0.186561 | + | 0.468747i | ||||
\(761\) | 22.9411 | 0.831616 | 0.415808 | − | 0.909452i | \(-0.363499\pi\) | ||||
0.415808 | + | 0.909452i | \(0.363499\pi\) | |||||||
\(762\) | − | 27.0465i | − | 0.979790i | ||||||
\(763\) | 14.4806i | 0.524232i | ||||||||
\(764\) | 3.11649 | 0.112751 | ||||||||
\(765\) | 1.95067 | − | 4.90119i | 0.0705268 | − | 0.177203i | ||||
\(766\) | 14.4935 | 0.523673 | ||||||||
\(767\) | − | 71.2241i | − | 2.57175i | ||||||
\(768\) | 1.53175i | 0.0552723i | ||||||||
\(769\) | −10.8123 | −0.389902 | −0.194951 | − | 0.980813i | \(-0.562455\pi\) | ||||
−0.194951 | + | 0.980813i | \(0.562455\pi\) | |||||||
\(770\) | −0.438079 | − | 0.174355i | −0.0157873 | − | 0.00628333i | ||||
\(771\) | −4.83078 | −0.173976 | ||||||||
\(772\) | 8.78278i | 0.316099i | ||||||||
\(773\) | − | 37.9989i | − | 1.36673i | −0.730079 | − | 0.683363i | \(-0.760517\pi\) | ||
0.730079 | − | 0.683363i | \(-0.239483\pi\) | |||||||
\(774\) | −3.62689 | −0.130366 | ||||||||
\(775\) | −10.9359 | − | 10.3434i | −0.392829 | − | 0.371546i | ||||
\(776\) | 0.240408 | 0.00863014 | ||||||||
\(777\) | − | 7.15650i | − | 0.256738i | ||||||
\(778\) | 36.9033i | 1.32305i | ||||||||
\(779\) | −45.9222 | −1.64533 | ||||||||
\(780\) | 16.7553 | + | 6.66861i | 0.599936 | + | 0.238775i | ||||
\(781\) | −0.202802 | −0.00725683 | ||||||||
\(782\) | 7.94485i | 0.284107i | ||||||||
\(783\) | 23.5274i | 0.840801i | ||||||||
\(784\) | −14.8286 | −0.529593 | ||||||||
\(785\) | −16.4809 | + | 41.4093i | −0.588228 | + | 1.47796i | ||||
\(786\) | −15.7927 | −0.563309 | ||||||||
\(787\) | − | 31.7730i | − | 1.13258i | −0.824205 | − | 0.566292i | \(-0.808377\pi\) | ||
0.824205 | − | 0.566292i | \(-0.191623\pi\) | |||||||
\(788\) | 7.00278i | 0.249464i | ||||||||
\(789\) | −21.4953 | −0.765252 | ||||||||
\(790\) | 7.21444 | − | 18.1267i | 0.256678 | − | 0.644921i | ||||
\(791\) | 20.3790 | 0.724594 | ||||||||
\(792\) | 0.0295047i | 0.00104840i | ||||||||
\(793\) | − | 22.4979i | − | 0.798923i | ||||||
\(794\) | −22.9365 | −0.813986 | ||||||||
\(795\) | −19.4189 | − | 7.72873i | −0.688719 | − | 0.274110i | ||||
\(796\) | 17.3202 | 0.613900 | ||||||||
\(797\) | − | 9.02551i | − | 0.319700i | −0.987141 | − | 0.159850i | \(-0.948899\pi\) | ||
0.987141 | − | 0.159850i | \(-0.0511011\pi\) | |||||||
\(798\) | − | 44.5135i | − | 1.57576i | ||||||
\(799\) | 15.4475 | 0.546492 | ||||||||
\(800\) | 3.43576 | − | 3.63257i | 0.121472 | − | 0.128431i | ||||
\(801\) | −6.52175 | −0.230435 | ||||||||
\(802\) | − | 27.4332i | − | 0.968698i | ||||||
\(803\) | 0.317643i | 0.0112094i | ||||||||
\(804\) | −18.9556 | −0.668513 | ||||||||
\(805\) | −21.3704 | − | 8.50543i | −0.753209 | − | 0.299777i | ||||
\(806\) | −15.8508 | −0.558319 | ||||||||
\(807\) | 46.1450i | 1.62438i | ||||||||
\(808\) | − | 5.61775i | − | 0.197632i | ||||||
\(809\) | −29.7376 | −1.04552 | −0.522759 | − | 0.852481i | \(-0.675097\pi\) | ||||
−0.522759 | + | 0.852481i | \(0.675097\pi\) | |||||||
\(810\) | −5.46677 | + | 13.7356i | −0.192083 | + | 0.482620i | ||||
\(811\) | 15.7650 | 0.553585 | 0.276793 | − | 0.960930i | \(-0.410729\pi\) | ||||
0.276793 | + | 0.960930i | \(0.410729\pi\) | |||||||
\(812\) | 19.6409i | 0.689260i | ||||||||
\(813\) | 22.7928i | 0.799378i | ||||||||
\(814\) | −0.0451320 | −0.00158187 | ||||||||
\(815\) | −7.15315 | + | 17.9728i | −0.250564 | + | 0.629558i | ||||
\(816\) | 5.52749 | 0.193501 | ||||||||
\(817\) | − | 34.5079i | − | 1.20728i | ||||||
\(818\) | − | 21.3920i | − | 0.747954i | ||||||
\(819\) | 16.0816 | 0.561937 | ||||||||
\(820\) | 15.3387 | + | 6.10478i | 0.535649 | + | 0.213188i | ||||
\(821\) | −4.27798 | −0.149303 | −0.0746513 | − | 0.997210i | \(-0.523784\pi\) | ||||
−0.0746513 | + | 0.997210i | \(0.523784\pi\) | |||||||
\(822\) | − | 4.93014i | − | 0.171958i | ||||||
\(823\) | − | 13.8985i | − | 0.484471i | −0.970217 | − | 0.242236i | \(-0.922119\pi\) | ||
0.970217 | − | 0.242236i | \(-0.0778807\pi\) | |||||||
\(824\) | 12.5663 | 0.437766 | ||||||||
\(825\) | −0.237517 | + | 0.251123i | −0.00826928 | + | 0.00874296i | ||||
\(826\) | 63.2019 | 2.19908 | ||||||||
\(827\) | 30.4944i | 1.06039i | 0.847875 | + | 0.530197i | \(0.177882\pi\) | ||||
−0.847875 | + | 0.530197i | \(0.822118\pi\) | |||||||
\(828\) | 1.43930i | 0.0500192i | ||||||||
\(829\) | −0.493020 | −0.0171233 | −0.00856165 | − | 0.999963i | \(-0.502725\pi\) | ||||
−0.00856165 | + | 0.999963i | \(0.502725\pi\) | |||||||
\(830\) | −1.82874 | − | 0.727838i | −0.0634765 | − | 0.0252636i | ||||
\(831\) | 0.225593 | 0.00782574 | ||||||||
\(832\) | − | 5.26514i | − | 0.182536i | ||||||
\(833\) | 53.5107i | 1.85404i | ||||||||
\(834\) | −32.0749 | −1.11066 | ||||||||
\(835\) | −9.89270 | + | 24.8560i | −0.342351 | + | 0.860178i | ||||
\(836\) | −0.280721 | −0.00970894 | ||||||||
\(837\) | − | 16.8487i | − | 0.582376i | ||||||
\(838\) | 23.0891i | 0.797598i | ||||||||
\(839\) | 27.9308 | 0.964278 | 0.482139 | − | 0.876095i | \(-0.339860\pi\) | ||||
0.482139 | + | 0.876095i | \(0.339860\pi\) | |||||||
\(840\) | −5.91751 | + | 14.8681i | −0.204173 | + | 0.512999i | ||||
\(841\) | −11.3276 | −0.390606 | ||||||||
\(842\) | 1.83757i | 0.0633268i | ||||||||
\(843\) | − | 39.0975i | − | 1.34659i | ||||||
\(844\) | −6.77438 | −0.233184 | ||||||||
\(845\) | −30.5852 | − | 12.1729i | −1.05216 | − | 0.418761i | ||||
\(846\) | 2.79849 | 0.0962141 | ||||||||
\(847\) | 51.3837i | 1.76556i | ||||||||
\(848\) | 6.10215i | 0.209549i | ||||||||
\(849\) | −0.0861901 | −0.00295804 | ||||||||
\(850\) | −13.1085 | − | 12.3983i | −0.449619 | − | 0.425259i | ||||
\(851\) | −2.20164 | −0.0754711 | ||||||||
\(852\) | 6.88297i | 0.235807i | ||||||||
\(853\) | 31.4029i | 1.07521i | 0.843195 | + | 0.537607i | \(0.180672\pi\) | ||||
−0.843195 | + | 0.537607i | \(0.819328\pi\) | |||||||
\(854\) | 19.9639 | 0.683150 | ||||||||
\(855\) | 8.44797 | + | 3.36229i | 0.288915 | + | 0.114988i | ||||
\(856\) | −17.9395 | −0.613158 | ||||||||
\(857\) | − | 39.7806i | − | 1.35888i | −0.733731 | − | 0.679441i | \(-0.762223\pi\) | ||
0.733731 | − | 0.679441i | \(-0.237777\pi\) | |||||||
\(858\) | 0.363983i | 0.0124262i | ||||||||
\(859\) | −41.8673 | −1.42849 | −0.714247 | − | 0.699894i | \(-0.753231\pi\) | ||||
−0.714247 | + | 0.699894i | \(0.753231\pi\) | |||||||
\(860\) | −4.58739 | + | 11.5261i | −0.156429 | + | 0.393037i | ||||
\(861\) | −52.8364 | −1.80066 | ||||||||
\(862\) | 15.9796i | 0.544267i | ||||||||
\(863\) | − | 8.52387i | − | 0.290156i | −0.989420 | − | 0.145078i | \(-0.953657\pi\) | ||
0.989420 | − | 0.145078i | \(-0.0463433\pi\) | |||||||
\(864\) | 5.59662 | 0.190401 | ||||||||
\(865\) | 4.41142 | − | 11.0840i | 0.149993 | − | 0.376867i | ||||
\(866\) | −25.2525 | −0.858116 | ||||||||
\(867\) | 6.09319i | 0.206936i | ||||||||
\(868\) | − | 14.0654i | − | 0.477412i | ||||||
\(869\) | 0.393776 | 0.0133579 | ||||||||
\(870\) | 13.3780 | + | 5.32444i | 0.453557 | + | 0.180515i | ||||
\(871\) | 65.1568 | 2.20775 | ||||||||
\(872\) | − | 3.09936i | − | 0.104958i | ||||||
\(873\) | − | 0.157165i | − | 0.00531922i | ||||||
\(874\) | −13.6942 | −0.463213 | ||||||||
\(875\) | 47.3831 | − | 21.9868i | 1.60184 | − | 0.743290i | ||||
\(876\) | 10.7806 | 0.364243 | ||||||||
\(877\) | 37.1163i | 1.25333i | 0.779289 | + | 0.626664i | \(0.215580\pi\) | ||||
−0.779289 | + | 0.626664i | \(0.784420\pi\) | |||||||
\(878\) | − | 9.30792i | − | 0.314127i | ||||||
\(879\) | −20.9901 | −0.707977 | ||||||||
\(880\) | 0.0937647 | + | 0.0373183i | 0.00316081 | + | 0.00125800i | ||||
\(881\) | 29.8633 | 1.00612 | 0.503060 | − | 0.864252i | \(-0.332208\pi\) | ||||
0.503060 | + | 0.864252i | \(0.332208\pi\) | |||||||
\(882\) | 9.69410i | 0.326417i | ||||||||
\(883\) | − | 9.98952i | − | 0.336174i | −0.985772 | − | 0.168087i | \(-0.946241\pi\) | ||
0.985772 | − | 0.168087i | \(-0.0537590\pi\) | |||||||
\(884\) | −18.9998 | −0.639033 | ||||||||
\(885\) | 17.1334 | − | 43.0487i | 0.575932 | − | 1.44707i | ||||
\(886\) | −9.52445 | −0.319980 | ||||||||
\(887\) | − | 23.2703i | − | 0.781340i | −0.920531 | − | 0.390670i | \(-0.872243\pi\) | ||
0.920531 | − | 0.390670i | \(-0.127757\pi\) | |||||||
\(888\) | 1.53175i | 0.0514022i | ||||||||
\(889\) | −82.4965 | −2.76684 | ||||||||
\(890\) | −8.24888 | + | 20.7258i | −0.276503 | + | 0.694732i | ||||
\(891\) | −0.298385 | −0.00999628 | ||||||||
\(892\) | 10.2559i | 0.343392i | ||||||||
\(893\) | 26.6261i | 0.891008i | ||||||||
\(894\) | 33.6728 | 1.12619 | ||||||||
\(895\) | 10.9676 | + | 4.36510i | 0.366606 | + | 0.145909i | ||||
\(896\) | 4.67211 | 0.156084 | ||||||||
\(897\) | 17.7559i | 0.592852i | ||||||||
\(898\) | 5.43278i | 0.181294i | ||||||||
\(899\) | −12.6558 | −0.422094 | ||||||||
\(900\) | −2.37476 | − | 2.24610i | −0.0791588 | − | 0.0748701i | ||||
\(901\) | 22.0203 | 0.733602 | ||||||||
\(902\) | 0.333209i | 0.0110946i | ||||||||
\(903\) | − | 39.7035i | − | 1.32125i | ||||||
\(904\) | −4.36184 | −0.145073 | ||||||||
\(905\) | 36.8659 | + | 14.6726i | 1.22546 | + | 0.487735i | ||||
\(906\) | 21.7320 | 0.721998 | ||||||||
\(907\) | 34.0053i | 1.12913i | 0.825389 | + | 0.564564i | \(0.190956\pi\) | ||||
−0.825389 | + | 0.564564i | \(0.809044\pi\) | |||||||
\(908\) | − | 11.2744i | − | 0.374153i | ||||||
\(909\) | −3.67256 | −0.121811 | ||||||||
\(910\) | 20.3404 | − | 51.1067i | 0.674279 | − | 1.69417i | ||||
\(911\) | −29.2297 | −0.968424 | −0.484212 | − | 0.874951i | \(-0.660894\pi\) | ||||
−0.484212 | + | 0.874951i | \(0.660894\pi\) | |||||||
\(912\) | 9.52749i | 0.315487i | ||||||||
\(913\) | − | 0.0397266i | − | 0.00131476i | ||||||
\(914\) | −7.54789 | −0.249662 | ||||||||
\(915\) | 5.41200 | − | 13.5980i | 0.178915 | − | 0.449536i | ||||
\(916\) | −9.40494 | −0.310748 | ||||||||
\(917\) | 48.1707i | 1.59074i | ||||||||
\(918\) | − | 20.1960i | − | 0.666568i | ||||||
\(919\) | −43.0238 | −1.41923 | −0.709613 | − | 0.704592i | \(-0.751130\pi\) | ||||
−0.709613 | + | 0.704592i | \(0.751130\pi\) | |||||||
\(920\) | 4.57405 | + | 1.82047i | 0.150802 | + | 0.0600191i | ||||
\(921\) | −26.9317 | −0.887430 | ||||||||
\(922\) | 35.4323i | 1.16690i | ||||||||
\(923\) | − | 23.6591i | − | 0.778748i | ||||||
\(924\) | −0.322987 | −0.0106255 | ||||||||
\(925\) | 3.43576 | − | 3.63257i | 0.112967 | − | 0.119438i | ||||
\(926\) | 20.9124 | 0.687225 | ||||||||
\(927\) | − | 8.21510i | − | 0.269819i | ||||||
\(928\) | − | 4.20386i | − | 0.137998i | ||||||
\(929\) | −10.7786 | −0.353635 | −0.176817 | − | 0.984244i | \(-0.556580\pi\) | ||||
−0.176817 | + | 0.984244i | \(0.556580\pi\) | |||||||
\(930\) | −9.58039 | − | 3.81299i | −0.314153 | − | 0.125033i | ||||
\(931\) | −92.2340 | −3.02285 | ||||||||
\(932\) | 3.22867i | 0.105759i | ||||||||
\(933\) | 0.540912i | 0.0177087i | ||||||||
\(934\) | −6.62523 | −0.216784 | ||||||||
\(935\) | 0.134667 | − | 0.338360i | 0.00440409 | − | 0.0110656i | ||||
\(936\) | −3.44204 | −0.112507 | ||||||||
\(937\) | − | 36.5755i | − | 1.19487i | −0.801918 | − | 0.597435i | \(-0.796187\pi\) | ||
0.801918 | − | 0.597435i | \(-0.203813\pi\) | |||||||
\(938\) | 57.8180i | 1.88782i | ||||||||
\(939\) | 28.9067 | 0.943336 | ||||||||
\(940\) | 3.53961 | − | 8.89348i | 0.115449 | − | 0.290073i | ||||
\(941\) | 58.9579 | 1.92197 | 0.960986 | − | 0.276596i | \(-0.0892064\pi\) | ||||
0.960986 | + | 0.276596i | \(0.0892064\pi\) | |||||||
\(942\) | 30.5303i | 0.994730i | ||||||||
\(943\) | 16.2547i | 0.529325i | ||||||||
\(944\) | −13.5275 | −0.440282 | ||||||||
\(945\) | 54.3243 | + | 21.6211i | 1.76717 | + | 0.703333i | ||||
\(946\) | −0.250387 | −0.00814079 | ||||||||
\(947\) | − | 9.63990i | − | 0.313255i | −0.987658 | − | 0.156627i | \(-0.949938\pi\) | ||
0.987658 | − | 0.156627i | \(-0.0500621\pi\) | |||||||
\(948\) | − | 13.3645i | − | 0.434059i | ||||||
\(949\) | −37.0566 | −1.20291 | ||||||||
\(950\) | 21.3704 | − | 22.5946i | 0.693349 | − | 0.733065i | ||||
\(951\) | 23.2794 | 0.754887 | ||||||||
\(952\) | − | 16.8598i | − | 0.546430i | ||||||
\(953\) | 31.4809i | 1.01977i | 0.860243 | + | 0.509884i | \(0.170312\pi\) | ||||
−0.860243 | + | 0.509884i | \(0.829688\pi\) | |||||||
\(954\) | 3.98923 | 0.129156 | ||||||||
\(955\) | −6.47471 | − | 2.57693i | −0.209517 | − | 0.0833876i | ||||
\(956\) | −17.8612 | −0.577672 | ||||||||
\(957\) | 0.290616i | 0.00939430i | ||||||||
\(958\) | − | 29.4581i | − | 0.951747i | ||||||
\(959\) | −15.0378 | −0.485596 | ||||||||
\(960\) | 1.26656 | − | 3.18231i | 0.0408780 | − | 0.102709i | ||||
\(961\) | −21.9368 | −0.707639 | ||||||||
\(962\) | − | 5.26514i | − | 0.169755i | ||||||
\(963\) | 11.7278i | 0.377923i | ||||||||
\(964\) | −26.6840 | −0.859434 | ||||||||
\(965\) | 7.26223 | − | 18.2468i | 0.233779 | − | 0.587386i | ||||
\(966\) | −15.7560 | −0.506941 | ||||||||
\(967\) | − | 25.5439i | − | 0.821438i | −0.911762 | − | 0.410719i | \(-0.865278\pi\) | ||
0.911762 | − | 0.410719i | \(-0.134722\pi\) | |||||||
\(968\) | − | 10.9980i | − | 0.353488i | ||||||
\(969\) | 34.3810 | 1.10448 | ||||||||
\(970\) | −0.499463 | − | 0.198786i | −0.0160368 | − | 0.00638264i | ||||
\(971\) | 43.7224 | 1.40312 | 0.701559 | − | 0.712611i | \(-0.252488\pi\) | ||||
0.701559 | + | 0.712611i | \(0.252488\pi\) | |||||||
\(972\) | − | 6.66286i | − | 0.213711i | ||||||
\(973\) | 97.8341i | 3.13642i | ||||||||
\(974\) | −8.80654 | −0.282180 | ||||||||
\(975\) | −29.2962 | − | 27.7090i | −0.938229 | − | 0.887397i | ||||
\(976\) | −4.27299 | −0.136775 | ||||||||
\(977\) | 44.6598i | 1.42879i | 0.699741 | + | 0.714396i | \(0.253299\pi\) | ||||
−0.699741 | + | 0.714396i | \(0.746701\pi\) | |||||||
\(978\) | 13.2510i | 0.423719i | ||||||||
\(979\) | −0.450237 | −0.0143896 | ||||||||
\(980\) | 30.8074 | + | 12.2614i | 0.984107 | + | 0.391675i | ||||
\(981\) | −2.02619 | −0.0646912 | ||||||||
\(982\) | − | 5.14258i | − | 0.164106i | ||||||
\(983\) | 9.17840i | 0.292745i | 0.989230 | + | 0.146373i | \(0.0467599\pi\) | ||||
−0.989230 | + | 0.146373i | \(0.953240\pi\) | |||||||
\(984\) | 11.3089 | 0.360514 | ||||||||
\(985\) | 5.79040 | − | 14.5487i | 0.184497 | − | 0.463562i | ||||
\(986\) | −15.1701 | −0.483114 | ||||||||
\(987\) | 30.6350i | 0.975123i | ||||||||
\(988\) | − | 32.7492i | − | 1.04189i | ||||||
\(989\) | −12.2144 | −0.388397 | ||||||||
\(990\) | 0.0243966 | − | 0.0612980i | 0.000775374 | − | 0.00194818i | ||||
\(991\) | 16.1246 | 0.512216 | 0.256108 | − | 0.966648i | \(-0.417560\pi\) | ||||
0.256108 | + | 0.966648i | \(0.417560\pi\) | |||||||
\(992\) | 3.01051i | 0.0955839i | ||||||||
\(993\) | − | 35.2624i | − | 1.11902i | ||||||
\(994\) | 20.9943 | 0.665899 | ||||||||
\(995\) | −35.9840 | − | 14.3216i | −1.14077 | − | 0.454026i | ||||
\(996\) | −1.34829 | −0.0427223 | ||||||||
\(997\) | − | 8.99979i | − | 0.285026i | −0.989793 | − | 0.142513i | \(-0.954482\pi\) | ||
0.989793 | − | 0.142513i | \(-0.0455183\pi\) | |||||||
\(998\) | − | 12.9692i | − | 0.410532i | ||||||
\(999\) | 5.59662 | 0.177069 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 370.2.b.d.149.4 | ✓ | 10 | |
3.2 | odd | 2 | 3330.2.d.p.1999.6 | 10 | |||
5.2 | odd | 4 | 1850.2.a.be.1.4 | 5 | |||
5.3 | odd | 4 | 1850.2.a.bd.1.2 | 5 | |||
5.4 | even | 2 | inner | 370.2.b.d.149.7 | yes | 10 | |
15.14 | odd | 2 | 3330.2.d.p.1999.1 | 10 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
370.2.b.d.149.4 | ✓ | 10 | 1.1 | even | 1 | trivial | |
370.2.b.d.149.7 | yes | 10 | 5.4 | even | 2 | inner | |
1850.2.a.bd.1.2 | 5 | 5.3 | odd | 4 | |||
1850.2.a.be.1.4 | 5 | 5.2 | odd | 4 | |||
3330.2.d.p.1999.1 | 10 | 15.14 | odd | 2 | |||
3330.2.d.p.1999.6 | 10 | 3.2 | odd | 2 |